Finding the Third Proportional to 1,010.81 and 2,021.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.81 : 2,021.06 = 2,021.06 : x
2. Step 2: Convert to fraction form
   1,010.81/2,021.06 = 2,021.06/x
3. Step 3: Cross multiply
   1,010.81x = 2,021.06 × 2,021.06
4. Step 4: Simplify right side
   1,010.81x = 4,084,693.63
5. Step 5: Solve for x
   x = 4,084,693.63/1,010.81
6. Step 6: Final answer
   x = 4,041.00